Initial Unit Weight given Average Unit Weight of Deposit Calculator

✖Average Unit Weight of Deposit refers to the weight per unit volume of sediment material deposited in a reservoir during a specific period.ⓘ Average Unit Weight of Deposit [W_av]			+10% -10%
✖Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form.ⓘ Weighted Value of B [B_w]			+10% -10%
✖Age of Sediment is the time elapsed since the material was deposited in years.ⓘ Age of Sediment [T]			+10% -10%

✖Initial Unit Weight represents the weight (mass multiplied by gravity) per unit volume of sediment deposition at the initial phase.ⓘ Initial Unit Weight given Average Unit Weight of Deposit [W_T1]

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Initial Unit Weight given Average Unit Weight of Deposit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Unit Weight = Average Unit Weight of Deposit-(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1)
W_T1 = W_av-(0.4343*B_w)*(((T/(T-1))*ln(T))-1)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Initial Unit Weight - (Measured in Newton per Cubic Meter) - Initial Unit Weight represents the weight (mass multiplied by gravity) per unit volume of sediment deposition at the initial phase.
Average Unit Weight of Deposit - (Measured in Newton per Cubic Meter) - Average Unit Weight of Deposit refers to the weight per unit volume of sediment material deposited in a reservoir during a specific period.
Weighted Value of B - Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form.
Age of Sediment - (Measured in Second) - Age of Sediment is the time elapsed since the material was deposited in years.

STEP 1: Convert Input(s) to Base Unit

Average Unit Weight of Deposit: 15.06 Kilonewton per Cubic Meter --> 15060 Newton per Cubic Meter (Check conversion here)
Weighted Value of B: 7 --> No Conversion Required
Age of Sediment: 25 Year --> 788923800 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_T1 = W_av-(0.4343*B_w)*(((T/(T-1))*ln(T))-1) --> 15060-(0.4343*7)*(((788923800/(788923800-1))*ln(788923800))-1)

Evaluating ... ...

W_T1 = 15000.7600632026

STEP 3: Convert Result to Output's Unit

15000.7600632026 Newton per Cubic Meter -->15.0007600632026 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

15.0007600632026 ≈ 15.00076 Kilonewton per Cubic Meter <-- Initial Unit Weight

(Calculation completed in 00.020 seconds)

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< Density of Sediment Deposits Calculators

Percentage of Sand given Unit Weight of Deposit

LaTeX Go Percentage of Sand = ((Average Unit Weight of Deposit)-((Percentage of Silt/100)*(Unit Weight of Silt+Constant B2*log10(Age of Sediment)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment))))/((Unit Weight of Sand+Constant B1*log10(Age of Sediment))/100)

Percentage of Clay given Unit Weight of Deposit

LaTeX Go Percentage of Clay = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))-((Percentage of Silt/100)*(Unit Weight of Silt+Constant B2*log10(Age of Sediment))))/((Unit Weight of Clay+Constant B3*log10(Age of Sediment))/100)

Percentage of Silt for Unit Weight of Deposits

LaTeX Go Percentage of Silt = ((Average Unit Weight of Deposit)-((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))-((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment))))/((Unit Weight of Silt+Constant B2*log10(Age of Sediment))/100)

Rough Estimation for Unit Weight of Deposit by Koelzer and Lara Formula

LaTeX Go Unit Weight of Deposit = ((Percentage of Sand/100)*(Unit Weight of Sand+Constant B1*log10(Age of Sediment)))+((Percentage of Silt/100)*(Unit Weight of Silt+Constant B2*log10(Age of Sediment)))+((Percentage of Clay/100)*(Unit Weight of Clay+Constant B3*log10(Age of Sediment)))

Initial Unit Weight given Average Unit Weight of Deposit Formula

LaTeX Go

Initial Unit Weight = Average Unit Weight of Deposit-(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1)
W_T1 = W_av-(0.4343*B_w)*(((T/(T-1))*ln(T))-1)

What is Reservoir sedimentation?

Reservoir sedimentation is the gradual accumulation of the incoming sediment load from a river. This accumulation is a serious problem in many parts of the world and has severe consequences for water management, flood control, and production of energy.

How to Calculate Initial Unit Weight given Average Unit Weight of Deposit?

Initial Unit Weight given Average Unit Weight of Deposit calculator uses Initial Unit Weight = Average Unit Weight of Deposit-(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1) to calculate the Initial Unit Weight, The Initial Unit Weight given Average Unit Weight of Deposit formula is defined as the unit weight of deposition of sediments in the reservoir during the initial period given the average unit weight of sediment deposits. Initial Unit Weight is denoted by W_T1 symbol.

How to calculate Initial Unit Weight given Average Unit Weight of Deposit using this online calculator? To use this online calculator for Initial Unit Weight given Average Unit Weight of Deposit, enter Average Unit Weight of Deposit (W_av), Weighted Value of B (B_w) & Age of Sediment (T) and hit the calculate button. Here is how the Initial Unit Weight given Average Unit Weight of Deposit calculation can be explained with given input values -> 0.014991 = 15060-(0.4343*7)*(((788923800/(788923800-1))*ln(788923800))-1).

FAQ

What is Initial Unit Weight given Average Unit Weight of Deposit?

The Initial Unit Weight given Average Unit Weight of Deposit formula is defined as the unit weight of deposition of sediments in the reservoir during the initial period given the average unit weight of sediment deposits and is represented as W_T1 = W_av-(0.4343*B_w)*(((T/(T-1))*ln(T))-1) or Initial Unit Weight = Average Unit Weight of Deposit-(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1). Average Unit Weight of Deposit refers to the weight per unit volume of sediment material deposited in a reservoir during a specific period, Weighted Value of B in decimal, is the weightages of sand, silt and clay samples present in fraction form & Age of Sediment is the time elapsed since the material was deposited in years.

How to calculate Initial Unit Weight given Average Unit Weight of Deposit?

The Initial Unit Weight given Average Unit Weight of Deposit formula is defined as the unit weight of deposition of sediments in the reservoir during the initial period given the average unit weight of sediment deposits is calculated using Initial Unit Weight = Average Unit Weight of Deposit-(0.4343*Weighted Value of B)*(((Age of Sediment/(Age of Sediment-1))*ln(Age of Sediment))-1). To calculate Initial Unit Weight given Average Unit Weight of Deposit, you need Average Unit Weight of Deposit (W_av), Weighted Value of B (B_w) & Age of Sediment (T). With our tool, you need to enter the respective value for Average Unit Weight of Deposit, Weighted Value of B & Age of Sediment and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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